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Samsung has pioneered the category that some refer to as the "phablet" segment, or something between a smartphone and tablet. Initially mocked for the size of the device, Samsung saw decent sales of the first big-bodied Galaxy Note, and pushed for wider distribution with the successor Galaxy Note 2, which saw its display grow to 5.5 inches from 5.3.

Samsung has continually hammered the point that the Galaxy Note has been successful around the world, and has been unusually quick to tout sales numbers as it justifies the new category. Last month, it said it sold 5 million units of the Galaxy Note 2 in two months, or double the rate of the original.

The carriers like the device because it appeals to heavy users who tend to be affluent and willing to spend more on monthly smartphone plans. Samsung sees it as a complement to its flagship Galaxy S3, which has proven to be nearly as strong a draw as Apple's iPhone 5.

The Korea Times also reiterated its belief that the Galaxy S4 will be unveiled at Mobile World Congress in February. Samsung, however, held its own event last year to unveil the Galaxy S3, and many expect the company to follow the same track this year.

CNET has contacted Samsung for comment, and we'll update the story when the company responds.